Given the nonnegative integers x, y, Z, satisfying (x-1) / 2 = (6-y) / 3 = (Z-3) / 4, let w = 3x + 4Y + 5Z, find the maximum and minimum of W?

Given the nonnegative integers x, y, Z, satisfying (x-1) / 2 = (6-y) / 3 = (Z-3) / 4, let w = 3x + 4Y + 5Z, find the maximum and minimum of W?

y=6-3(x-1)/2 z=3+2(x-1)
w=x+[6-3(x-1)/2]+{3+2(x-1)}
=(3x+11)/2
=
Given nonnegative integers x, y, Z
W Max infinity min 11 / 2